The rate of a country's per capita sales of bottled water for the period 2007–2014 could be approximated bys(t) = 0.29t2 − t + 24 gallons per year (0 ≤ t ≤ 7),where t is time in years since the start of 2007. use a riemann sum with n = 5to estimate the total country's per capita sales of bottled water from the start of 2008 to the start of 2012. (use a left riemann sum to find your answer. round your answer to the nearest gallon.)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)